We're dividing 114037 by 63 
We want to figure out the number of times 114037 can be divided by 63.

Moving on to step 1:
When dividing 1 by 63, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 63

Going ahead to step 2:
If we divide 11 by 63, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 63

Going ahead to step 3:
If we divide 114 by 63, we get 1 and a remainder of 51.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 63 from 114, we get 51.
Append the next digit (0) from the dividend to 51 and continue with: 510 / 63

Moving on to step 4:
510 divided by 63 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 18.0
The remainder is 6 after subtracting 504 from 510.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 63

Let's proceed to step 5:
When dividing 63 by 63, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 181.0
Deduct 63 from 63 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 63

On to step 6:
63 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 1810.0
The remainder is 7 after subtracting 0 from 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
63 can be fit into 70 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 1810.1
If we subtract 63 from 70, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
63 goes into 70 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1810.11
If we take 63 away from 70, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 1810.11, with a leftover of 0.007.